In this section, we quantify the DRP metrics for the compact scheme based Lax-Wendroff methods for the purpose of performing high accuracy simulations like DNS and LES. For these high accuracy calculations, the normalized properties \(\frac{|G_{num}|}{|G_{phys}|}\) , \(\frac{\alpha _{num}}{\alpha }\) , \(\frac{c_{num}}{c_{phys}}\)  and \(\frac{V_{g,{num}}}{V_{g,phys}}\)  should be as close to unity as possible, in order to minimize errors due to dissipation, dispersion and signal propagation [1]}, [2]}. In regions where \(\frac{|G_{num}|}{|G_{phys}|}\)  deviates farther from unity value, errors can appear due to strong/weak numerical diffusion when compared to physical diffusion, even in the stable region. Similarly, errors can also appear due to a lack of satisfaction of dispersion relation, resulting in dispersion and signal propagation errors. These aspects are quantified here for the developed compact scheme based Lax-Wendroff methods for 1D CDE with the help of GSA.
